The generator matrix 1 0 0 0 1 1 1 X+2 X^2+X 1 1 X^2+X 1 1 0 1 1 1 X^2+2 1 2 1 2 1 X 1 X^2+2 X^2 X^2+2 1 1 1 1 1 X^2+X X+2 X+2 X+2 1 X+2 X^2+X+2 1 1 1 1 X+2 1 X^2+X X X^2+X 1 X 1 1 X^2+X 1 X^2+2 X^2 1 1 1 1 X^2+X 1 1 1 1 1 X^2 1 X+2 1 1 1 1 1 X^2+X 1 1 X^2+X+2 1 1 1 X^2+X+2 1 2 1 1 1 X^2+X+2 1 X^2+X+2 X+2 1 0 1 0 0 2 X^2+3 X+3 1 0 X^2+2 X^2 1 X+1 X^2+X+1 1 1 2 X^2+2 2 2 1 X^2+3 1 X^2 1 X+1 1 X^2+X+2 X^2+X 0 X^2+3 1 0 X^2+X+3 1 1 0 X^2 X^2+1 1 1 X X^2+X X+2 1 X^2+X+2 X^2+1 1 2 X X^2+2 1 X^2+X+2 X^2+1 X+2 X+2 1 X+2 X^2+3 X^2+X+1 X^2+3 X+3 1 X^2 0 X^2 X+2 X^2+X+2 1 X^2+X+3 1 X^2+1 X^2+X X^2+2 3 X+3 X^2+X X X+3 X^2+2 X^2+X+3 X+1 X^2+X+2 X+2 X+2 1 X^2+X X+3 X^2+X+1 1 X^2+X+1 X+2 1 X^2+X+3 0 0 1 0 X^2+2 2 X^2 X^2 1 X^2+X+1 1 X+1 X^2+1 X^2+X+3 X^2+3 X+3 X^2+1 X+1 1 X^2+X+2 X^2+X+1 3 X+2 X^2 3 X^2+X+2 X X+2 1 X^2+X+2 X+2 X^2+1 1 X^2+X+2 X+2 1 1 1 X+1 X^2+X+1 X^2+X+2 0 X^2+X+3 X^2+X+3 X^2+2 X X^2+X X^2+3 2 1 X+2 X+1 X X+3 0 X X^2+1 1 X^2+X+2 3 X+2 2 2 X^2+X X^2+X+1 0 X^2+X+1 X+1 X^2+2 X^2+1 X^2+X 0 X^2+1 X+2 X^2+1 X^2+X+3 1 2 X^2+X+3 1 X^2+X+2 X 2 1 1 X+3 X^2+2 X^2+3 X^2+X X+2 X^2+3 1 X^2+X+3 X^2+2 0 0 0 1 X^2+X+1 X^2+X+3 2 X+1 X^2+1 X+1 0 X+1 3 X^2+X X+2 X^2+X+3 X^2+3 X^2+X+2 X+3 1 X^2+1 X^2+2 X^2+X+3 X X^2+2 X+3 X^2 1 X^2+X X^2+X+1 X+2 X^2+X+1 X^2+X+2 0 X^2+X X^2+1 X+3 X^2+X+2 0 X X^2+1 0 X^2+X+1 2 X^2+1 1 3 X+2 1 X^2+2 X 0 X+1 X^2+1 1 X^2+3 2 X^2+X+3 X+3 X^2+X+3 2 X^2+X+2 0 X^2+2 X^2+1 X^2+1 X^2+3 X+2 3 X^2+2 0 X+2 X^2+3 X^2+2 3 X^2+2 3 X+2 X 0 X^2+X+1 1 X^2+3 X+1 X+3 X+3 X+2 X^2 X X+3 X+3 X+2 X^2+1 X^2+X+3 generates a code of length 94 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 87. Homogenous weight enumerator: w(x)=1x^0+1078x^87+1948x^88+3360x^89+4388x^90+5856x^91+5522x^92+7914x^93+6669x^94+7522x^95+5540x^96+5474x^97+3727x^98+2904x^99+1614x^100+1098x^101+399x^102+278x^103+122x^104+70x^105+13x^106+24x^107+4x^108+4x^109+4x^110+2x^111+1x^112 The gray image is a code over GF(2) with n=752, k=16 and d=348. This code was found by Heurico 1.16 in 325 seconds.